Cremona's table of elliptic curves

13200 = 2⁴ · 3 · 5² · 11

Class	r	Atkin-Lehner	Eigenvalues
13200a (4 curves)	1	2+ 3+ 5+ 11+	2+ 3+ 5+  0 11+ -2 -6  0
Curve Equation t Generators 13200a1 [0,-1,0,-308,2112] 2 [16:32:1] 13200a2 [0,-1,0,-808,-5888] 4 [-18:50:1] 13200a3 [0,-1,0,-11808,-489888] 2 [-62:6:1] 13200a4 [0,-1,0,2192,-41888] 2 [42:350:1]
13200b (4 curves)	1	2+ 3+ 5+ 11+	2+ 3+ 5+  0 11+  6  6  0
Curve Equation t Generators 13200b1 [0,-1,0,-1383,20262] 2 [86:728:1] 13200b2 [0,-1,0,-1508,16512] 4 [-32:176:1] 13200b3 [0,-1,0,-9008,-313488] 2 [337:5900:1] 13200b4 [0,-1,0,3992,104512] 2 [22:450:1]
13200c (1 curve)	1	2+ 3+ 5+ 11+	2+ 3+ 5+  1 11+  1  2  5
Curve Equation t Generators 13200c1 [0,-1,0,-31713,-2163843] 1 [10821316:315494113:12167]
13200d (1 curve)	1	2+ 3+ 5+ 11+	2+ 3+ 5+  1 11+ -4 -3 -5
Curve Equation t Generators 13200d1 [0,-1,0,-88,352] 1 [6:2:1]
13200e (2 curves)	1	2+ 3+ 5+ 11+	2+ 3+ 5+ -2 11+ -4  0  4
Curve Equation t Generators 13200e1 [0,-1,0,-283,-3938] 2 [58:414:1] 13200e2 [0,-1,0,-5908,-172688] 2 [-44:12:1]
13200f (1 curve)	1	2+ 3+ 5+ 11+	2+ 3+ 5+  3 11+  0  3 -3
Curve Equation t Generators 13200f1 [0,-1,0,-3080208,2151708912] 1 [7029962:57521834:6859]
13200g (4 curves)	1	2+ 3+ 5+ 11+	2+ 3+ 5+  4 11+ -2  2 -4
Curve Equation t Generators 13200g1 [0,-1,0,-1383,3762] 2 [-18:150:1] 13200g2 [0,-1,0,-16508,820512] 4 [28:616:1] 13200g3 [0,-1,0,-264008,52300512] 4 [4502:300150:1] 13200g4 [0,-1,0,-11008,1370512] 2 [-18:1250:1]
13200h (6 curves)	0	2+ 3+ 5+ 11-	2+ 3+ 5+  0 11-  2  6  4
Curve Equation t 13200h1 [0,-1,0,-4383,-185238] 2 13200h2 [0,-1,0,-82508,-9091488] 4 13200h3 [0,-1,0,-1320008,-583291488] 2 13200h4 [0,-1,0,-95008,-6141488] 4 13200h5 [0,-1,0,-700008,221338512] 2 13200h6 [0,-1,0,309992,-45021488] 2
13200i (2 curves)	0	2+ 3+ 5+ 11-	2+ 3+ 5+  2 11-  4  0  4
Curve Equation t 13200i1 [0,-1,0,-283,562] 2 13200i2 [0,-1,0,1092,3312] 2
13200j (2 curves)	0	2+ 3+ 5+ 11-	2+ 3+ 5+ -2 11-  4  4 -8
Curve Equation t 13200j1 [0,-1,0,-273283,55079062] 2 13200j2 [0,-1,0,-271908,55659312] 2
13200k (1 curve)	0	2+ 3+ 5+ 11-	2+ 3+ 5+ -3 11-  5 -6  1
Curve Equation t 13200k1 [0,-1,0,-833,47037] 1
13200l (4 curves)	0	2+ 3+ 5+ 11-	2+ 3+ 5+  4 11- -2 -2  4
Curve Equation t 13200l1 [0,-1,0,-6908,-218688] 2 13200l2 [0,-1,0,-7408,-184688] 4 13200l3 [0,-1,0,-40408,2983312] 2 13200l4 [0,-1,0,17592,-1184688] 2
13200m (4 curves)	2	2+ 3+ 5+ 11-	2+ 3+ 5+ -4 11- -2 -6 -4
Curve Equation t Generators 13200m1 [0,-1,0,617,-1238] 2 [18:124:1]&[22:150:1] 13200m2 [0,-1,0,-2508,-7488] 4 [-47:66:1]&[-28:200:1] 13200m3 [0,-1,0,-30008,-1987488] 2 [-98:50:1]&[221:1458:1] 13200m4 [0,-1,0,-25008,1522512] 4 [-148:1400:1]&[-123:1650:1]
13200n (1 curve)	1	2+ 3+ 5- 11-	2+ 3+ 5- -1 11-  0  1 -1
Curve Equation t Generators 13200n1 [0,-1,0,792,546912] 1 [-58:550:1]
13200o (1 curve)	1	2+ 3+ 5- 11-	2+ 3+ 5-  2 11- -1  4  3
Curve Equation t Generators 13200o1 [0,-1,0,-2208,42912] 1 [42:150:1]
13200p (1 curve)	1	2+ 3+ 5- 11-	2+ 3+ 5- -3 11-  4 -1 -7
Curve Equation t Generators 13200p1 [0,-1,0,-19222208,-32480747088] 1 [127246:45363142:1]
13200q (2 curves)	0	2+ 3- 5+ 11+	2+ 3- 5+  2 11+  0  2 -8
Curve Equation t 13200q1 [0,1,0,-208,-412] 2 13200q2 [0,1,0,792,-2412] 2
13200r (2 curves)	0	2+ 3- 5+ 11+	2+ 3- 5+  2 11+  0 -4  4
Curve Equation t 13200r1 [0,1,0,-9283,352688] 2 13200r2 [0,1,0,-149908,22290188] 2
13200s (2 curves)	0	2+ 3- 5+ 11+	2+ 3- 5+ -2 11+  0  8  8
Curve Equation t 13200s1 [0,1,0,7717,-238812] 2 13200s2 [0,1,0,-42908,-2263812] 2
13200t (4 curves)	0	2+ 3- 5+ 11+	2+ 3- 5+ -4 11+  6  2  4
Curve Equation t 13200t1 [0,1,0,-85383,-9627012] 2 13200t2 [0,1,0,-100508,-5997012] 4 13200t3 [0,1,0,-788008,264877988] 4 13200t4 [0,1,0,344992,-44310012] 2
13200u (6 curves)	1	2+ 3- 5+ 11-	2+ 3- 5+  0 11-  2 -2 -4
Curve Equation t Generators 13200u1 [0,1,0,1617,20988] 2 [168:2250:1] 13200u2 [0,1,0,-8508,182988] 4 [-22:600:1] 13200u3 [0,1,0,-58008,-5262012] 2 [-121:6:1] 13200u4 [0,1,0,-121008,16157988] 4 [-72:4950:1] 13200u5 [0,1,0,-1936008,1036187988] 2 [1028:11550:1] 13200u6 [0,1,0,-106008,20327988] 2 [98:3300:1]
13200v (1 curve)	1	2+ 3- 5+ 11-	2+ 3- 5+  1 11-  0 -1 -1
Curve Equation t Generators 13200v1 [0,1,0,32,4388] 1 [32:-198:1]
13200w (2 curves)	1	2+ 3- 5+ 11-	2+ 3- 5+ -2 11-  0 -4 -4
Curve Equation t Generators 13200w1 [0,1,0,-223283,-40327812] 2 [11848:1288650:1] 13200w2 [0,1,0,-56908,-98891812] 2 [518:3300:1]
13200x (2 curves)	1	2+ 3- 5+ 11-	2+ 3- 5+ -2 11-  0  6 -4
Curve Equation t Generators 13200x1 [0,1,0,-200408,34465188] 2 [208:1350:1] 13200x2 [0,1,0,-199408,34827188] 2 [374:-3564:1]
13200y (1 curve)	1	2+ 3- 5+ 11-	2+ 3- 5+ -2 11-  1 -4  3
Curve Equation t Generators 13200y1 [0,1,0,-88,308] 1 [2:12:1]
13200z (2 curves)	1	2+ 3- 5+ 11-	2+ 3- 5+ -2 11-  4 -4  0
Curve Equation t Generators 13200z1 [0,1,0,-3283,-73312] 2 [68:150:1] 13200z2 [0,1,0,-1908,-133812] 2 [138:1500:1]
13200ba (1 curve)	1	2+ 3- 5+ 11-	2+ 3- 5+  3 11- -4  1 -7
Curve Equation t Generators 13200ba1 [0,1,0,-768888,-260153532] 1 [1152:19602:1]
13200bb (4 curves)	1	2+ 3- 5+ 11-	2+ 3- 5+  4 11- -6 -6  8
Curve Equation t Generators 13200bb1 [0,1,0,17,-712] 2 [28:150:1] 13200bb2 [0,1,0,-1108,-14212] 4 [2678:138600:1] 13200bb3 [0,1,0,-17608,-905212] 2 [21434:1108275:8] 13200bb4 [0,1,0,-2608,30788] 2 [-56:66:1]
13200bc (1 curve)	1	2+ 3- 5- 11+	2+ 3- 5- -1 11+ -1 -2  5
Curve Equation t Generators 13200bc1 [0,1,0,-792833,-272066037] 1 [1054:8019:1]
13200bd (1 curve)	1	2+ 3- 5- 11+	2+ 3- 5- -1 11+  4  3 -5
Curve Equation t Generators 13200bd1 [0,1,0,-2208,39588] 1 [8:150:1]
13200be (1 curve)	1	2+ 3- 5- 11+	2+ 3- 5- -3 11+  0 -3 -3
Curve Equation t Generators 13200be1 [0,1,0,-123208,17164388] 1 [-16:4374:1]
13200bf (1 curve)	0	2+ 3- 5- 11-	2+ 3- 5-  3 11- -5  6  1
Curve Equation t 13200bf1 [0,1,0,-33,363] 1
13200bg (4 curves)	0	2- 3+ 5+ 11+	2- 3+ 5+  0 11+ -2  2 -8
Curve Equation t 13200bg1 [0,-1,0,-557408,160365312] 2 13200bg2 [0,-1,0,-565408,155533312] 4 13200bg3 [0,-1,0,-1665408,-632066688] 2 13200bg4 [0,-1,0,406592,633757312] 2
13200bh (2 curves)	0	2- 3+ 5+ 11+	2- 3+ 5+  0 11+  4  2 -2
Curve Equation t 13200bh1 [0,-1,0,-33,-1188] 2 13200bh2 [0,-1,0,-1908,-31188] 2
13200bi (6 curves)	0	2- 3+ 5+ 11+	2- 3+ 5+  0 11+ -6 -2  4
Curve Equation t 13200bi1 [0,-1,0,101992,-1225488] 2 13200bi2 [0,-1,0,-410008,-9417488] 4 13200bi3 [0,-1,0,-4730008,-3949257488] 2 13200bi4 [0,-1,0,-4282008,3397942512] 4 13200bi5 [0,-1,0,-68434008,217922230512] 2 13200bi6 [0,-1,0,-2082008,6882742512] 2
13200bj (2 curves)	0	2- 3+ 5+ 11+	2- 3+ 5+  2 11+ -1  8  5
Curve Equation t 13200bj1 [0,-1,0,-9248,-346368] 1 13200bj2 [0,-1,0,49792,15798912] 1
13200bk (1 curve)	0	2- 3+ 5+ 11+	2- 3+ 5+  3 11+  0 -5  1
Curve Equation t 13200bk1 [0,-1,0,-8,-528] 1
13200bl (2 curves)	0	2- 3+ 5+ 11+	2- 3+ 5+ -3 11+  4 -7 -5
Curve Equation t 13200bl1 [0,-1,0,-14448,-664128] 1 13200bl2 [0,-1,0,99792,5598912] 1
13200bm (4 curves)	0	2- 3+ 5+ 11+	2- 3+ 5+  4 11+  2  2  0
Curve Equation t 13200bm1 [0,-1,0,-2608,51712] 2 13200bm2 [0,-1,0,-4608,-36288] 4 13200bm3 [0,-1,0,-58608,-5436288] 2 13200bm4 [0,-1,0,17392,-300288] 2
13200bn (4 curves)	0	2- 3+ 5+ 11+	2- 3+ 5+ -4 11+  2  2  8
Curve Equation t 13200bn1 [0,-1,0,-9008,280512] 2 13200bn2 [0,-1,0,-41008,-2919488] 4 13200bn3 [0,-1,0,-641008,-197319488] 2 13200bn4 [0,-1,0,46992,-13831488] 2
13200bo (1 curve)	0	2- 3+ 5+ 11+	2- 3+ 5+  5 11+ -4  5 -7
Curve Equation t 13200bo1 [0,-1,0,12,12] 1
13200bp (1 curve)	1	2- 3+ 5+ 11-	2- 3+ 5+  1 11-  1 -2  5
Curve Equation t Generators 13200bp1 [0,-1,0,267,-1143] 1 [13:66:1]
13200bq (2 curves)	1	2- 3+ 5+ 11-	2- 3+ 5+  2 11- -6  4  2
Curve Equation t Generators 13200bq1 [0,-1,0,-1933,-37388] 2 [3306:66725:8] 13200bq2 [0,-1,0,-32308,-2224388] 2 [16903338:312559525:39304]
13200br (1 curve)	1	2- 3+ 5+ 11-	2- 3+ 5+ -2 11-  1  4 -1
Curve Equation t Generators 13200br1 [0,-1,0,-5208,-1091088] 1 [138:894:1]
13200bs (2 curves)	1	2- 3+ 5+ 11-	2- 3+ 5+ -2 11- -2 -8  2
Curve Equation t Generators 13200bs1 [0,-1,0,-533,7812] 2 [32:150:1] 13200bs2 [0,-1,0,-9908,382812] 2 [13:506:1]
13200bt (4 curves)	1	2- 3+ 5+ 11-	2- 3+ 5+  4 11- -2 -2 -4
Curve Equation t Generators 13200bt1 [0,-1,0,-16106408,-23501324688] 2 [3261158251416990668324:326269287460515700277248:281692787710600889] 13200bt2 [0,-1,0,-48874408,102589939312] 4 [40895245874:4165526254050:25153757] 13200bt3 [0,-1,0,-733162408,7640706547312] 2 [7010367475420838214:-37517926616341123882:437020845889103] 13200bt4 [0,-1,0,111125592,633789939312] 2 [1008476:340577600:343]
13200bu (4 curves)	1	2- 3+ 5+ 11-	2- 3+ 5+ -4 11-  6 -2 -4
Curve Equation t Generators 13200bu1 [0,-1,0,-808,112] 2 [-3:50:1] 13200bu2 [0,-1,0,-8808,320112] 4 [2:550:1] 13200bu3 [0,-1,0,-140808,20384112] 2 [218:26:1] 13200bu4 [0,-1,0,-4808,608112] 2 [-4:792:1]
13200bv (2 curves)	1	2- 3+ 5- 11+	2- 3+ 5-  0 11+ -4  0  8
Curve Equation t Generators 13200bv1 [0,-1,0,-1013,10572] 2 [8:54:1] 13200bv2 [0,-1,0,2012,58972] 2 [-3:230:1]
13200bw (2 curves)	1	2- 3+ 5- 11+	2- 3+ 5-  2 11+ -2 -6 -4
Curve Equation t Generators 13200bw1 [0,-1,0,-153,-648] 2 [36:198:1] 13200bw2 [0,-1,0,-428,2652] 2 [37:190:1]
13200bx (2 curves)	1	2- 3+ 5- 11+	2- 3+ 5- -2 11+  5  0  1
Curve Equation t Generators 13200bx1 [0,-1,0,364792,-13091088] 1 [242:9450:1] 13200bx2 [0,-1,0,-4585208,4176588912] 1 [506:44562:1]
13200by (2 curves)	0	2- 3+ 5- 11-	2- 3+ 5-  1 11- -1 -6  7
Curve Equation t 13200by1 [0,-1,0,-9333,-360963] 1 13200by2 [0,-1,0,50667,-660963] 1
13200bz (2 curves)	0	2- 3+ 5- 11-	2- 3+ 5-  1 11- -4  3  1
Curve Equation t 13200bz1 [0,-1,0,5192,-249488] 1 13200bz2 [0,-1,0,-48808,8563312] 1
13200ca (2 curves)	0	2- 3+ 5- 11-	2- 3+ 5-  1 11- -4  3 -5
Curve Equation t 13200ca1 [0,-1,0,-137708,-19623588] 1 13200ca2 [0,-1,0,-62708,-40893588] 1
13200cb (1 curve)	0	2- 3+ 5- 11-	2- 3+ 5- -3 11-  4 -1  7
Curve Equation t 13200cb1 [0,-1,0,-308,2412] 1
13200cc (4 curves)	1	2- 3- 5+ 11+	2- 3- 5+  2 11+ -2  0 -2
Curve Equation t Generators 13200cc1 [0,1,0,5467,573438] 2 [-2:750:1] 13200cc2 [0,1,0,-78908,7829688] 2 [2234:22125:8] 13200cc3 [0,1,0,-390533,93880938] 2 [105574:587250:343] 13200cc4 [0,1,0,-6249908,6011849688] 2 [96755473038:-12035712375:66923416]
13200cd (2 curves)	1	2- 3- 5+ 11+	2- 3- 5+  2 11+ -5  0  1
Curve Equation t Generators 13200cd1 [0,1,0,14592,-98892] 1 [42:768:1] 13200cd2 [0,1,0,-183408,33339348] 1 [23646:1572864:343]
13200ce (2 curves)	1	2- 3- 5+ 11+	2- 3- 5+ -2 11+  2 -4  6
Curve Equation t Generators 13200ce1 [0,1,0,67,138] 2 [58:450:1] 13200ce2 [0,1,0,-308,888] 2 [474:3525:8]
13200cf (4 curves)	1	2- 3- 5+ 11+	2- 3- 5+ -2 11+ -4  2  0
Curve Equation t Generators 13200cf1 [0,1,0,-18008,-684012] 2 [-92:450:1] 13200cf2 [0,1,0,45992,-4396012] 2 [182:3168:1] 13200cf3 [0,1,0,-4026008,3107939988] 2 [23916:416150:27] 13200cf4 [0,1,0,-4022008,3114427988] 2 [1358:12600:1]
13200cg (6 curves)	0	2- 3- 5+ 11-	2- 3- 5+  0 11-  2 -2  4
Curve Equation t 13200cg1 [0,1,0,1992,-132012] 2 13200cg2 [0,1,0,-30008,-1860012] 4 13200cg3 [0,1,0,-470008,-124180012] 2 13200cg4 [0,1,0,-102008,10379988] 4 13200cg5 [0,1,0,-1554008,745091988] 2 13200cg6 [0,1,0,197992,60179988] 2
13200ch (2 curves)	0	2- 3- 5+ 11-	2- 3- 5+ -1 11-  1  6  7
Curve Equation t 13200ch1 [0,1,0,-373,-3037] 1 13200ch2 [0,1,0,2027,-4477] 1
13200ci (2 curves)	0	2- 3- 5+ 11-	2- 3- 5+ -1 11-  4 -3  1
Curve Equation t 13200ci1 [0,1,0,129792,-30926412] 1 13200ci2 [0,1,0,-1220208,1067973588] 1
13200cj (2 curves)	0	2- 3- 5+ 11-	2- 3- 5+ -1 11-  4 -3 -5
Curve Equation t 13200cj1 [0,1,0,-5508,-159192] 1 13200cj2 [0,1,0,-2508,-328152] 1
13200ck (4 curves)	0	2- 3- 5+ 11-	2- 3- 5+  2 11-  4  6  4
Curve Equation t 13200ck1 [0,1,0,-2208,-38412] 2 13200ck2 [0,1,0,1792,-158412] 2 13200ck3 [0,1,0,-32208,2205588] 2 13200ck4 [0,1,0,-16208,4413588] 2
13200cl (1 curve)	0	2- 3- 5+ 11-	2- 3- 5+  3 11- -4  1  7
Curve Equation t 13200cl1 [0,1,0,-7708,286088] 1
13200cm (4 curves)	0	2- 3- 5+ 11-	2- 3- 5+ -4 11-  4  6 -2
Curve Equation t 13200cm1 [0,1,0,-1033,-17062] 2 13200cm2 [0,1,0,-17908,-928312] 2 13200cm3 [0,1,0,7967,185438] 2 13200cm4 [0,1,0,-38908,1591688] 2
13200cn (2 curves)	0	2- 3- 5- 11+	2- 3- 5-  0 11+  4  0  8
Curve Equation t 13200cn1 [0,1,0,-25333,1270838] 2 13200cn2 [0,1,0,50292,7472088] 2
13200co (2 curves)	0	2- 3- 5- 11+	2- 3- 5- -2 11+  1 -8  5
Curve Equation t 13200co1 [0,1,0,1992,127188] 1 13200co2 [0,1,0,-231208,-43758412] 1
13200cp (2 curves)	0	2- 3- 5- 11+	2- 3- 5- -2 11+  2  6 -4
Curve Equation t 13200cp1 [0,1,0,-3833,-88662] 2 13200cp2 [0,1,0,-10708,310088] 2
13200cq (2 curves)	0	2- 3- 5- 11+	2- 3- 5-  3 11+ -4  7 -5
Curve Equation t 13200cq1 [0,1,0,3992,46388] 1 13200cq2 [0,1,0,-361208,-83738412] 1
13200cr (1 curve)	0	2- 3- 5- 11+	2- 3- 5- -3 11+  0  5  1
Curve Equation t 13200cr1 [0,1,0,-208,-66412] 1
13200cs (1 curve)	0	2- 3- 5- 11+	2- 3- 5- -5 11+  4 -5 -7
Curve Equation t 13200cs1 [0,1,0,292,2088] 1
13200ct (1 curve)	1	2- 3- 5- 11-	2- 3- 5- -1 11- -1  2  5
Curve Equation t Generators 13200ct1 [0,1,0,6667,-129537] 1 [283:4950:1]
13200cu (1 curve)	1	2- 3- 5- 11-	2- 3- 5-  2 11- -1 -4 -1
Curve Equation t Generators 13200cu1 [0,1,0,-208,-8812] 1 [98:960:1]

Data from Elliptic Curve Data by J. E. Cremona.
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